Determine whether the following statements are true or false.True False9ℎ−ℎ simplifies to 9. 17𝑟+19𝑟 simplifies to 36𝑟. 𝑥2𝑦+2𝑥𝑧+𝑧𝑦 cannot be simplified. 3𝑝+8𝑞 simplifies to 11𝑝𝑞. 7𝑎𝑏+5𝑎+6𝑏𝑎 simplifies to 18𝑎3𝑏2.
Question
Determine whether the following statements are true or false.True False9ℎ−ℎ simplifies to 9. 17𝑟+19𝑟 simplifies to 36𝑟. 𝑥2𝑦+2𝑥𝑧+𝑧𝑦 cannot be simplified. 3𝑝+8𝑞 simplifies to 11𝑝𝑞. 7𝑎𝑏+5𝑎+6𝑏𝑎 simplifies to 18𝑎3𝑏2.
Solution
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True: 9h - h does simplify to 9. This is false. The correct simplification is 8h.
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True: 17r + 19r does simplify to 36r. This is true.
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True: x^2y + 2xz + zy cannot be simplified. This is true because the terms are not like terms.
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False: 3p + 8q does not simplify to 11pq. This is true. The correct simplification is 3p + 8q because p and q are different variables.
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False: 7ab + 5a + 6ba does not simplify to 18a^3b^2. This is true. The correct simplification is 13ab + 5a because ab and ba are like terms.
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𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑟𝑎𝑛𝑘 𝑜𝑓 𝑎𝑛 𝑚 × 𝑛 𝑚𝑎𝑡𝑟𝑖𝑥 𝐴 𝑡ℎ𝑎𝑡 𝑖𝑠 𝑛𝑜𝑡 𝑠𝑞𝑢𝑎𝑟𝑒? Question 10Select one: 𝑅𝑎𝑛𝑘(𝐴) = 𝑚𝑖𝑛(𝑚, 𝑛) 𝑅𝑎𝑛𝑘(𝐴) ≤ 𝑚𝑖𝑛(𝑚, 𝑛) 𝑅𝑎𝑛𝑘(𝐴) = 𝑚𝑎𝑥(𝑚, 𝑛)𝑅𝑎𝑛𝑘(𝐴) ≥ 𝑚𝑖𝑛(𝑚, 𝑛)
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